Math Problem Statement
Consider the given data set.
n = 12
measurements: 7, 6, 1, 5, 7, 7, 5, 4, 8, 5, 2, 0
Find the mean.
Find the standard deviation. (Round your answer to four decimal places.)
Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.)
z =
Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.)
z =
Do the z-scores indicate that there are possible outliers in the data set?
Since both z-scores exceed 2 in absolute value, both of the observations are unusual.Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large. Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small.Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Descriptive Statistics
Z-score
Formulas
Mean formula: (Σx)/n
Standard Deviation formula: sqrt[(Σ(x - mean)^2) / n]
Z-score formula: (x - mean) / standard deviation
Theorems
Empirical Rule for Normal Distribution
Suitable Grade Level
Grades 9-12
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